Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2353, 2360 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2353 and 2360 is 1.
GCF(2353,2360) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2353
13 | 2353 |
181 | 181 |
1 |
Prime factors of 2353 are 13,181. Prime factorization of 2353 in exponential form is:
2353 = 131×1811
Prime Factorization of 2360
2 | 2360 |
2 | 1180 |
2 | 590 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 2360 are 2,5,59. Prime factorization of 2360 in exponential form is:
2360 = 23×51×591
∴ So by taking common prime factors GCF of 2353 and 2360 is 1
Factors of 2353
List of positive integer factors of 2353 that divides 2353 without a remainder.
1,13,181,2353
Factors of 2360
List of positive integer factors of 2360 that divides 2360 without a remainder.
1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors and prime factorization of 2353 and 2360. The biggest common factor number is the GCF number.
So the greatest common factor 2353 and 2360 is 1.
Also check out the Least Common Multiple of 2353 and 2360
(i) The GCF of 2353 and 2360 is associative
GCF of 2353 and 2360 = GCF of 2360 and 2353
1. What is the GCF of 2353 and 2360?
Answer: GCF of 2353 and 2360 is 1.
2. What are the Factors of 2353?
Answer: Factors of 2353 are 1, 13, 181, 2353. There are 4 integers that are factors of 2353. The greatest factor of 2353 is 2353.
3. What are the Factors of 2360?
Answer: Factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360. There are 16 integers that are factors of 2360. The greatest factor of 2360 is 2360.
4. How to Find the GCF of 2353 and 2360?
Answer:
Greatest Common Factor of 2353 and 2360 = 1
Step 1: Find the prime factorization of 2353
2353 = 13 x 181
Step 2: Find the prime factorization of 2360
2360 = 2 x 2 x 2 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2353 and 2360 is 1